Complex Generalized Stancu-Schurer Operators
Mathematica Slovaca, cilt.74, sa.5, ss.1215-1232, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 5
- Basım Tarihi: 2024
- Doi Numarası: 10.1515/ms-2024-0088
- Dergi Adı: Mathematica Slovaca
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1215-1232
- Anahtar Kelimeler: complex Bernstein-Schurer operator, Complex Stancu operator, equivalence, exact order of approximation, simultaneous approximation
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In the present study, we determine a Schurer type of complex generalized Stancu operators and examine its some approximation properties. Firstly, we obtain upper quantitative estimates for the convergence and then we get lower estimates from a qualitative Voronovskaja-type result for these specified operators attached to the analytic functions in an open disk centered at the origin. Hence, we present the exact order of simultaneous approximation by using obtained upper and lower estimates.